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100506111012 = 223337910332377
BaseRepresentation
bin101110110011010100…
…0011000110000100100
3100121102102222110001000
41131212220120300210
53121314031023022
6114101042433300
710155430563546
oct1354650306044
9317372873030
10100506111012
113969609686a
121758b362830
139629624208
144c16367696
1529338ad6ac
hex1766a18c24

100506111012 has 96 divisors (see below), whose sum is σ = 261621852800. Its totient is φ = 33367251456.

The previous prime is 100506111011. The next prime is 100506111029. The reversal of 100506111012 is 210111605001.

It is a happy number.

100506111012 is a `hidden beast` number, since 1 + 0 + 0 + 50 + 611 + 1 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100506111011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42281568 + ... + 42283944.

Almost surely, 2100506111012 is an apocalyptic number.

100506111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100506111012 is an abundant number, since it is smaller than the sum of its proper divisors (161115741788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100506111012 is a wasteful number, since it uses less digits than its factorization.

100506111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 100506111012 its reverse (210111605001), we get a palindrome (310617716013).

The spelling of 100506111012 in words is "one hundred billion, five hundred six million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 379 758 1033 1137 1516 2066 2274 2377 3099 3411 4132 4548 4754 6198 6822 7131 9297 9508 10233 12396 13644 14262 18594 20466 21393 27891 28524 37188 40932 42786 55782 64179 85572 111564 128358 256716 391507 783014 900883 1174521 1566028 1801766 2349042 2455441 2702649 3523563 3603532 4698084 4910882 5405298 7047126 7366323 8107947 9821764 10570689 10810596 14094252 14732646 16215894 21141378 22098969 24323841 29465292 32431788 42282756 44197938 48647682 66296907 88395876 97295364 132593814 265187628 930612139 1861224278 2791836417 3722448556 5583672834 8375509251 11167345668 16751018502 25126527753 33502037004 50253055506 100506111012